The final state of the animation is associated to its correct square milage. I calculated this by taking the area of each country polygon in the Mercator projection (MA), and the the true area (TA), then I did: 1 / sqrt (MA/TA) So Greenland for example is scaled to be 0.25 the size of Mercator original, which makes it 16 times smaller than shown in Mercator projection! I then resized it at the centroid of each country” As has been pointed out for large countries like Russia, the top of the country should be shrunk more than the bottom, I have not done this. However, the true area of each country is correctly scaled. To give perspective, Greenland is actually the same size as Saudi Arabia.

Animating the Mercator projection to the true size of each country in relation to all the others.